Spectra of the blow-up graphs
classification
🧮 math.SP
keywords
blow-upgraphlaplaciancomplementdetermineeigenvaluesgraphsmatrix
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Let $G$ be graph on $n$ vertices and $G^{(t)}$ its blow-up graph of order $t.$ In this paper, we determine all eigenvalues of the Laplacian and the signless Laplacian matrix of $G^{(t)}$ and its complement $\bar{G^{(t)}}.$
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